Equations with Fractions By: Desmine Zeigler

To solve equations with Fractions Find the lowest common multiple of the Denominator which is known as the lowest common denominator (LCD). Remove the fractions by multiplying both sides of the equation by the LCD. Solve the equation for the unknown pronumeral by performing the same operations to both sides of the equation. A pronumeral is a letter that is used to represent a number (or numeral) in a problem.

Examples Solve 2x=6 for x 3 3*2x=3*6 3 2x=18 2 2 X=9 2 2 X=9 Lowest common multiple of 3 and 1 is 3.  So, we multiply both sides by 3 to obtain:                                                 Solution:                   2x=6 3 3 1 Divide both sides by 2

Examples Continued Lowest common multiple of 8 and 3 is 24.  So, we multiply both sides by 24 to obtain: 24(x+2)= 24x 2 8 3 Solve x+2=2 for x. 8 3 (simplify) x+2=2 8 3 Solution: 3(x+2) = 16 3x+6=16 3x+6-6=16-6 3x=10 3x= 10 3 3 x=3 1 3 Remove Brackets Subtract 6 from both sides Divide both sides by 3

Practice problems 1)5 1⁄2+p=6 2)m-1 1⁄2=-5⁄4 3)-3⁄4b=2 4)x-3=-5 1⁄2 7)2 1⁄10n=1 1⁄6 8)9 1⁄3=5⁄3n

Practice Problems (continued) 9) 5 2⁄7+k=2 27⁄70 10)2 5⁄12=-3 1⁄4+k 11)m-4⁄9=-2 67⁄90 12)11⁄6= 1⁄3=+p 13)1 13⁄54=11⁄8v 14)39⁄5=2m 15)n- 3⁄4=-2 3⁄4

Answers 1)1⁄2 2)1⁄4 3)-2 2⁄3 4)-2 1⁄2 5)1 3⁄4 6)-4 3⁄4 7)5⁄9 8)5 3⁄5

Answers 9)-2 9⁄10 10)5 2⁄3 11)-2 3⁄10 12)1 1⁄2 13)7⁄8 14)3 9⁄10 15)-2